Answer:
The speed on motorboat is 20 mph
Step-by-step explanation:
here, we want to find the speed on the motorboat
if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph
The total hours is 4 hours
Mathematically; speed = distance/time
Time on ski is 27/x+ 10
Time on motor boat is 62/x
The addition of both is 4
Thus;
27/(x + 10) + 62/x = 4
27(x) + 62(x + 10) = 4(x)(x + 10)
27x + 62x + 620 = 4(x^2 + 10x)
89x + 620 = 4x^2 + 40x
4x^2 -49x-620 = 0
using the quadratic formula;
{-b ± √(b^2-4ac)}/2a
where a = 4, b = -49 and c = -620
= 49 ± √(-49)^2-4(4)(-620)/8
So we have
49+ 111/8 or 49-111/8
Speed cannot be negative
(49 + 111)/8
= 20 mph
(2x - 3y + 5z) - (-4x - y + 8z)
= 2x - 3y + 5z + 4x + y - 8z
= 6x - 2y - 3z
In short, Your Answer would be Option D
Hope this helps!
Answer:
1 to 2, 2 to 4, 3 to 6
Step-by-step explanation:
4s double is 8, 5s double is 10, so whichever you choose just double it.
In mathematically, 8/4 = 2, 10/5 = 2, so x to 2x
The sum of the interior angles of a hexagon is equal to sum of six consecutive numbers. Hence let the smallest consecutive number be x. Then other five numbers are x+1, x+2, x+3,x+4 and x+5. Hence the measure of the smallest angle is 117.5 cm.
